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Harmonic function on an open set is infinite dimensional

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#partial-differential-equations #elliptic-functions #laplacian
281
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Entire functions such that $f(z+\lambda_1)=af(z) \; , \; f(z+\lambda_2)=bf(z) $

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#complex-analysis #modular-forms #elliptic-functions
1.7k
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Extremizing a functional with a non-elementary solution to the Euler-Lagrange equation

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#calculus-of-variations #elliptic-functions
81
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Elliptic function $f(z)=\frac{a_{-2}}{z^2}+a_0+a_1z+a_2z^2+\dots$ must be even

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#complex-analysis #elliptic-functions
411
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Weierstrass elliptic functions and ordinary differential equations

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#ordinary-differential-equations #reference-request #elliptic-curves #modular-forms #elliptic-functions
3.9k
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What even *are* elliptic functions?

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#complex-analysis #special-functions #analytic-number-theory #elliptic-integrals #elliptic-functions
187
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How to solve a quintic polynomial using elliptic functions with Mathematica?

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#polynomials #elliptic-functions #theta-functions #quintics
156
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Coefficients of the power series solution for $f'(x)^2+f(x)^4=1$

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#sequences-and-series #ordinary-differential-equations #power-series #elliptic-integrals #elliptic-functions
262
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Two Equivalent Equations for the Zeros of the Jacobi Theta Function?

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#elliptic-functions #theta-functions
109
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Factorization of elliptic functions with theta functions

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#complex-analysis #elliptic-curves #elliptic-functions #theta-functions
310
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How to solve this integral using some special functions? $I=\int_a^b \frac{\sin u}{(c-u-\sin u)^{2/3}}du$

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#definite-integrals #special-functions #gamma-function #hypergeometric-function #elliptic-functions
497
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Why the derivative of the logarithm of a theta function is not an elliptic function?

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#complex-analysis #elliptic-functions #theta-functions
110
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Computing a definite integral in terms of elliptic functions

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#integration #definite-integrals #elliptic-integrals #elliptic-functions
441
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'Even-order of zeros and poles' property of an even elliptic function

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#complex-analysis #elliptic-functions
125
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Does anybody know this relation between Jacobi theta functions?

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#complex-analysis #elliptic-curves #elliptic-integrals #elliptic-functions #theta-functions

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